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Article

Friedrich, Thomas
On the conformal relation between twistors and Killing spinors. (English). In: Bureš, J. and Souček, V. (eds.): Proceedings of the Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 1990. pp. [59]-75
MSC: 53A50, 53C20, 53C27, 58G30 | MR 1061789 | Zbl 0703.53012
Summary:
[For the entire collection see Zbl 0699.00032.] \par The author considers the conformal relation between twistors and spinors on a Riemannian spin manifold of dimension $n\ge 3$. A first integral is constructed for a twistor spinor and various geometric properties of the spin manifold are deduced. The notions of a conformal deformation and a Killing spinor are considered and such a deformation of a twistor spinor into a Killing spinor and conditions for the equivalence of these quantities is indicated.
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